This is according to the Express, who cite reports as claiming that the 27-year-old is keen to leave the Camp Nou after falling down the pecking order under Luis Enrique.
Pedro gave his manager something to think about on Tuesday night, by scoring a first-half hat-trick against Huesca in the Copa del Rey, but the Spain international still has his work cut out to displace either Luis Suarez or Neymar in Barca's first-choice starting line-up.
Pedro admits future is unclear
Pedro, who has also been linked with Manchester United and Liverpool in recent months, told reporters in October that his future at the Camp Nou is far from certain.
"I don't know what's going to happen yet, I don't know anything," he commented. "I'm calm though. When a decision has to be made, I'll speak with the club and we'll see what happens.
"Whatever comes in the future, will come."
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Two months later and it seems Pedro would be keen to leave Barcelona - the club he joined at the age of 17 - with his current situation unlikely to change in the near future.
Wenger a fan of Pedro
Arsene Wenger wants Pedro to sign for Arsenal in order to boost his side's chances of winning their first Premier League title since 2004. The Gunners are currently 13 points behind league-leaders Chelsea, in sixth position, and face AS Monaco in the last 16 of the Champions League in February and March.
Pedro, keen to ensure he doesn't waste the peak years of his career on the Barcelona bench, would have looked at the success of Cesc Fabregas and Alexis Sanchez - who both left the Camp Nou in the summer - in the Premier League this season.
Fabregas has flourished at Chelsea after making the tough decision to leave his boyhood club, while Sanchez has arguably been the Premier League's standout performer this term for Arsenal.
The chance to reunite with Sanchez at the Emirates Stadium may prove tempting for Pedro; even more so if Wenger can offer the player regular first-team football.
Arsenal also have several Spanish players in their first-team squad, including Santi Cazorla, Nacho Monreal and captain Mikel Arteta.
Whether Manchester United and Liverpool will step up their interest in Pedro after learning that Arsenal are poised to submit a formal offer remains to be seen, but the Gunners remain in pole position to sign the Spaniard for the time being.